Atkin-Lehner |
5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
5425c |
Isogeny class |
Conductor |
5425 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-145373046875 = -1 · 59 · 74 · 31 |
Discriminant |
Eigenvalues |
0 3 5+ 7- 4 2 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,50,-18344] |
[a1,a2,a3,a4,a6] |
j |
884736/9303875 |
j-invariant |
L |
3.8111872961968 |
L(r)(E,1)/r! |
Ω |
0.4763984120246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800bm1 48825bd1 1085a1 37975j1 |
Quadratic twists by: -4 -3 5 -7 |